Trajectories of projectiles launched at different elevation angles but at the same speed (g = 10 m/s²). If you've used the trigonometric functions calculator, you know that sin(2 x) = 2sin( x)cos( x), so we can write the final formula as: Velocity, in our case, is the horizontal velocity V x = V₀ × cos(α), and the time to reach the ground is a value we've already calculated:ĭ = V × t = V₀ × cos( α) × 2 × V₀ × sin( α)/ g ![]() The projectile range is the distance traveled by the object when it returns to the ground (so y = 0):įrom that equation, we'll find t, which is the time of flight to the ground:Īlso, we know that we can find the maximum distance of the projectile from the widely known formula: d = V × t (learn more in our distance calculator). To find the formula for the projectile range, let's start with the equation of motion. Launch from the ground (initial height = 0) ![]() Let's split the equations into two cases: when we launch the projectile from the ground and when the object is thrown from some initial height (e.g., table, building, bridge).ġ.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |